Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions

Author:

Asaduzzaman MuhammadORCID,Catterall SimonORCID,Meurice YannickORCID,Sakai RyoORCID,Toga Goksu CanORCID

Abstract

Abstract We show how to construct a tensor network representation of the path integral for reduced staggered fermions coupled to a non-abelian gauge field in two dimensions. The resulting formulation is both memory and computation efficient because reduced staggered fermions can be represented in terms of a minimal number of tensor indices while the gauge sector can be approximated using Gaussian quadrature with a truncation. Numerical results obtained using the Grassmann TRG algorithm are shown for the case of SU(2) lattice gauge theory and compared to Monte Carlo results.

Publisher

Springer Science and Business Media LLC

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